-8+3(-3r+20)=7(-3r-20)

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Solution for -8+3(-3r+20)=7(-3r-20) equation: 


Simplifying
-8 + 3(-3r + 20) = 7(-3r + -20)

Reorder the terms:
-8 + 3(20 + -3r) = 7(-3r + -20)
-8 + (20 * 3 + -3r * 3) = 7(-3r + -20)
-8 + (60 + -9r) = 7(-3r + -20)

Combine like terms: -8 + 60 = 52
52 + -9r = 7(-3r + -20)

Reorder the terms:
52 + -9r = 7(-20 + -3r)
52 + -9r = (-20 * 7 + -3r * 7)
52 + -9r = (-140 + -21r)

Solving
52 + -9r = -140 + -21r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '21r' to each side of the equation.
52 + -9r + 21r = -140 + -21r + 21r

Combine like terms: -9r + 21r = 12r
52 + 12r = -140 + -21r + 21r

Combine like terms: -21r + 21r = 0
52 + 12r = -140 + 0
52 + 12r = -140

Add '-52' to each side of the equation.
52 + -52 + 12r = -140 + -52

Combine like terms: 52 + -52 = 0
0 + 12r = -140 + -52
12r = -140 + -52

Combine like terms: -140 + -52 = -192
12r = -192

Divide each side by '12'.
r = -16

Simplifying
r = -16

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